{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "68aac10c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "#API Method for clay\n",
    "Gammades_s = 6.5\n",
    "r_0 = 0.134 \n",
    "z = 0 \n",
    "Gamma1 = Gammades_s\n",
    "Cu = 35\n",
    "D = 2*r_0*1000 \n",
    "X1 =z*1000\n",
    "J = 0.5\n",
    "y_c = 2.5*0.005*2*r_0\n",
    "X_R = 6*D/((Gamma1*D/Cu)+J)\n",
    "if X1 <= X_R:\n",
    "    p_u = 3*Cu + Gamma1*X1 +J*Cu*X1/D\n",
    "else:\n",
    "    p_u = 9*Cu\n",
    "p_u\n",
    "API_y = [0*y_c, 0.1*y_c, 0.3*y_c, 1*y_c, 3*y_c, 8*y_c, 0.1, .15 ]\n",
    "API_P1 = [0.00*p_u, 0.23*p_u, 0.33*p_u, 0.50*p_u, 0.72*p_u, p_u, p_u, p_u] \n",
    "P_Y_days = np.loadtxt(\"P_y_0d.csv\", delimiter=\",\")\n",
    "\n",
    "y1 = np.arange(0.00,0.12,0.01)\n",
    "Gong51_x = [0, 0.0023188405797101414, 0.0067246376811594165, 0.01194202898550724, 0.01797101449275362, 0.026666666666666658, 0.03605797101449274, 0.04660869565217389, 0.0623768115942029, 0.08011594202898549,0.10353623188405796]   \n",
    "Gong51_y = [0, 15.020639009464164, 20.97919191631679, 30.78849384473065, 40.59518963922293, 50.0079869067103, 60.18922137621859, 69.40339400839676, 78.79348068028176, 88.36990592755993,97.54275272183874]\n",
    "plt.plot(y1,P_Y_days[:,510],\"--\",linewidth=2.5,color=\"black\")\n",
    "plt.plot(Gong51_x,Gong51_y, '-',marker='d',linewidth=1.5,color=\"cornflowerblue\")\n",
    "plt.plot(API_y,API_P1,\":\",linewidth=2.5,color=\"black\")\n",
    "plt.xlabel('Pile head displacement (m)',color=\"black\")\n",
    "plt.ylabel(\"Lateral load (kN/m)\",color=\"black\")\n",
    "plt.text(0.005,138,'51 days after pile installation' )\n",
    "plt.legend(['Analytical solution (present study)', \"Field observation\\n(Chaosittichai and Anantanasakul, 2018)\", \"API  method\"],frameon=False)\n",
    "plt.xlim(-0.001,  0.11)\n",
    "plt.ylim(0, 150)\n",
    "plt.rcParams[\"figure.figsize\"] = (7.5,5)\n",
    "plt.rcParams.update({'font.size': 15})\n",
    "plt.rc('font',family='Times New Roman')\n",
    "plt.savefig(\"Fig validation 6c 51days.svg\", format=\"svg\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "517f68d3",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3eb1a7f4",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
